On the other hand, to the best of our knowledge
not a single case of Theorem REF  in the case where \(\textnormal {rk}\,G >1\) 
and all the \(k_i\) , \(i \in I\) , are non-archimedean fields of
characteristic zero was previously
known. The proof in this case is a corollary of Margulis'
superrigidity theorem and the recent integrality result of Esnault and
Groechenig ([1]}, whose proof was greatly simplified in [2]}).
